SOLUTION: in a three-digit number, the hundreds digit is equal to the tens digit and is 2 more than the ones digit. The number formed by reversing the digits is 19 times the sum of the digit

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Question 919569: in a three-digit number, the hundreds digit is equal to the tens digit and is 2 more than the ones digit. The number formed by reversing the digits is 19 times the sum of the digits. Find the original number
Answer by JoelSchwartz(130) About Me  (Show Source):
You can put this solution on YOUR website!
h=hundreds digit
t=tens digit
u=ones digit
h=t
h=2+u
19(t+h+u)=100u+10t+h
19(2+u+2+u+u)=100u+10(2+u)+2+u
19(3u+4)=100u+20+10u+2+u
57u+76=111u+22
54=111u-57u
54=54u
u=1
h=3
t=3
19(7)=100+30+3
133=133
100h+10t+u
300+30+1=331
The original number is 331